2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase

Abstract

Simple averaged normal vector, Hermit polynomial, Cubic B-Spline curve and other technique are used to smooth surface for frictional contact problem between deformable bodies in context of large deformation. Mortar approach is combined with augmented Lagrange formulation to treat the contact constraints. A spline interpolation is also employed for the linearization of the kinematic contact constraints. Cubic B-Spline is applied at the boundary of contact element while maintaining a classical Lagrange interpolation at the interior. The quality of the contact pressure obtained with B-Spline is better than that achieved with a hall Lagrange discretization. The performance of the proposed framework is illustrated with representative two dimensional numerical examples.